Question 8

$$f(x) = \frac{2x + 2}{2x - 2}$$, where y = f(x). Find the ratio of x to f(y).

Solution

$$f\left(y\right)=f\left(f\left(x\right)\right)$$

or, $$f\left(y\right)=f\left(\frac{2x+2}{2x-2}\right)$$

$$f\left(y\right)=\frac{2\left(\frac{2x+2}{2x-2}\right)+2}{2\left(\frac{2x+2}{2x-2}\right)-2}$$

or, $$f\left(y\right)=\frac{8x}{8}=x$$

Therefore x:f(y) = 1:1

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
40+ previous papers with solutions PDF
Top 500 MBA exam Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Linear Equations Questions CAT Quadratic Equations Questions CAT Logarithms Questions CAT Number Systems Questions CAT Arithmetic Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Coins and Weights Questions CAT Truth Lie Concept Questions CAT Games and Tournamnents Questions CAT 2D & 3D LR Questions CAT Puzzles Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Grammar and Sentence Correction Questions CAT Reading Comprehension Questions CAT Odd One Out Questions CAT Para Jumbles Questions CAT Critical Reasoning Questions

Follow us on

Boost your Prep!

Download App